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Finding the Fourth Proportional to 176,071.94, 242,991.84 and 99,591.74

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Solution

The fourth proportional to 176,071.94, 242,991.84 and 99,591.74 is: 137,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,071.94 : 242,991.84 = 99,591.74 : x
  2. Step 2: Convert to fraction form
    176,071.94/242,991.84 = 99,591.74/x
  3. Step 3: Cross multiply
    176,071.94x = 242,991.84 × 99,591.74
  4. Step 4: Simplify right side
    176,071.94x = 24,199,980,151.40
  5. Step 5: Solve for x
    x = 24,199,980,151.40/176,071.94
  6. Step 6: Final answer
    x = 137,443.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.